Home
Class 12
MATHS
Let A(1, 2), B(3, 4) be two points and C...

Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that area of `DeltaABC` is 3 sq. units and `(x- 1)(x-3)+ (y-2)(y-4)=0`. Then number of positions of C, in the xy plane is

A

2

B

4

C

8

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

Let A(1,2),B(3,4) be two points and C(x,y) be a point such that area of Delta ABC is 3 sq.units and (x-1)(x-3)+(y-2)(y-4)=0 . Then number of positions of C, in the xy plane is

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. Area of the triangle ABC is (in sq. units)

Let A(1,1) and B(3,3) be two fixed points and P be a variable point such that area of Delta PAB remains constant and equal to 1 sq.units,for all positions of P ,then locus of P is given by (A) 2y=2x+1 (B) 2y=2x-1 (C) y=x+1 (D) y=x-1

Let P(2,-4) and Q(3,1) be two given points. Let R(x, y) be a point such that (x-2)(x-3)+(y-1)(y+4)=0 .If area of Delta PQR is (13)/(2) , then the number of possible positions of R are

Let A=(1,2),B=(3,4) and C=(x,y) lie on the circumcircle of triangle ABC having AB as a diameter such that area of triangle ABC=1 the maximum number of position of C in the x -y plane is:

then image of the point (-1,3,4) in the plane x-2y=0

The image of the point (-1, 3, 4) in the plane x-2y=0 is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

  2. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  3. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  4. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

    Text Solution

    |

  5. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  6. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  7. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  8. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  9. Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that ar...

    Text Solution

    |

  10. A circle touches y-axis at (0,3) and makes an intercept of 2 units on ...

    Text Solution

    |

  11. Equation of the circle which circumscribes the square formed by the li...

    Text Solution

    |

  12. If the centre of the circle passing through the origin and the point o...

    Text Solution

    |

  13. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  14. Equation of circle passing through (1,5) and (4,1) and touching y-axi...

    Text Solution

    |

  15. If the circle x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y=m at two d...

    Text Solution

    |

  16. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |

  17. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

  18. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  19. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  20. The length of the diameter of the circle which touches the x-axis at t...

    Text Solution

    |